CN105226667B - A kind of wind-powered electricity generation collects the analysis method and device of regional voltage sensibility - Google Patents

A kind of wind-powered electricity generation collects the analysis method and device of regional voltage sensibility Download PDF

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CN105226667B
CN105226667B CN201510778381.0A CN201510778381A CN105226667B CN 105226667 B CN105226667 B CN 105226667B CN 201510778381 A CN201510778381 A CN 201510778381A CN 105226667 B CN105226667 B CN 105226667B
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CN105226667A (en
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谢欢
周红婷
吴涛
曹天植
李善颖
赵峰
梁浩
姚谦
付宏伟
史扬
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/10Flexible AC transmission systems [FACTS]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

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Abstract

The present invention provides the analysis method and device that a kind of wind-powered electricity generation collects regional voltage sensibility, and the analysis method includes:The reactive power exchange relation for collecting system according to STATCOM and wind-powered electricity generation establishes flow equation;Wind-powered electricity generation established according to flow equation collect all blower fans in system and run with constant power factor, and send it is active constant when the second flow equation;First reactive voltage sensitivity, the first susceptance voltage sensibility, the second reactive voltage sensitivity and the second susceptance voltage sensibility are obtained according to the second flow equation;First relational expression and the second relational expression are generated according to the first susceptance voltage sensibility and the second susceptance voltage sensibility;Reactive current I, capacitance B are obtained according to the first relational expression respectivelycAnd the first relation between equiva lent impedance X and voltage power-less sensitivity increase degree;And admittance value B is obtained according to the second relational expression respectivelyL, capacitance BcAnd the second relation between equiva lent impedance X and voltage power-less sensitivity increase degree.

Description

A kind of wind-powered electricity generation collects the analysis method and device of regional voltage sensibility
Technical field
The present invention is on wind power plant reactive voltage control technology, specifically collecting regional voltage on a kind of wind-powered electricity generation The analysis method and device of sensitivity.
Background technology
Due to the characteristic distributions of THE WIND ENERGY RESOURCES IN CHINA, determine that the wind-powered electricity generation taken at present concentrates access on a large scale, it is long away from From the mode of conveying supply load.With the continuous expansion of blower fan installed capacity, the drawbacks of this mode is brought, increasingly appears, i.e., Concentrate grid-connected Network Construction of Power Transmission capacity of short circuit smaller, local dip also may can cause chain response in bulk zone.Closely A lot of chain off-grid accidents of blower fan occur for Nian Lai, the extensive area of concentration of wind-powered electricity generation, and a portion accident is due in wind power plant Some Wind turbines do not carry out the transformation of low voltage crossing, so as to cause these Wind turbines when short trouble occurring inside Low-voltage off-grid, other units cause its high voltage off-grid because of idle superfluous again.Another part accident is due to then windy Field blower fan is under non-failure conditions because high voltage causes chain off-grid.
To avoid the generation of above-mentioned accident, area need to be collected to the wind-powered electricity generation of SVC (SVC) control mode and entered Row voltage stability is evaluated, and targeted SVC is by perceptual branch road and capacitive branch group in existing Voltage Stability Assessment Method Into, but most of wind power plant SVC only control inductive branch roads at present, and capacitive branch is then by the way of manual switching, the evaluation Method discusses for the permanent idle control of wind power plant SVC perception branch road, when research has electric capacity disturbance in systems, utilizes electricity Pressure-idle Sensitivity Method evaluation SVC such a control mode influences on collecting regional voltage stability.
Following two shortcomings be present in such a evaluation method:(1) wind power plant SVC dynamic behaviour, and each wind in area are only considered Electric field is using the permanent idle control mode of SVC perception branch road.But from the point of view of the PMU data of actual wind power plant, wind before accident occurs Electric field dynamic reactive equipment is mainly double-fed type influence generator (DFIG), and some wind power plant, which is thrown, static reacance Device (SVG).(2) only using the inductive reactive power input amount of dynamic reactive compensation device as the factor for causing voltage sensibility to increase, And analysis process assumes that input condenser capacity is equal with the idle input amount of dynamic reactive compensation device perception branch road in initial fields Condition.However, the actual condenser capacity put into of wind power plant and may not meet this condition.
The content of the invention
The main purpose of the embodiment of the present invention be to provide the analysis method that a kind of wind-powered electricity generation collects regional voltage sensibility and Device, the defects of to overcome in the presence of existing Voltage Stability Assessment Method.
To achieve these goals, the embodiment of the present invention provides the analysis side that a kind of wind-powered electricity generation collects regional voltage sensibility Method, the analysis method include:The reactive power exchange relation for collecting system according to STATCOM and wind-powered electricity generation establishes power flow equation Formula;The wind-powered electricity generation is established according to the flow equation collect all blower fans in system and run with constant power factor, and send It is active constant when the second flow equation;First reactive voltage sensitivity and the are obtained according to second flow equation One susceptance voltage sensibility, and the STATCOM is further obtained using the second reactive voltage during permanent idle control Sensitivity and the second susceptance voltage sensibility;Generated according to the first susceptance voltage sensibility and the second susceptance voltage sensibility Reactive current I, input capacitance BcAnd the first relational expression between the equiva lent impedance X between wind power plant and system, and The admittance value B of perceptual branch road inputL, input capacitance BcAnd second between the equiva lent impedance X between wind power plant and system Relational expression;According to first relational expression respectively to reactive current I, capacitance BcAnd equiva lent impedance X derivations, obtain described idle Electric current I, capacitance BcAnd the first relation between equiva lent impedance X and voltage-idle sensitivity increase degree;And according to described Second relational expression is respectively to admittance value BL, capacitance BcAnd equiva lent impedance X derivations, obtain the admittance value BL, capacitance BcAnd wait Imitate the second relation between impedance X and voltage-idle sensitivity increase degree.
In one embodiment, above-mentioned flow equation is:
Wherein, X be wind power plant system total impedance, X=Xs+XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTTo rise Pressure transformer impedance;I is the reactive current that STATCOM provides to system;P is that all blower fans are sent in wind power plant It is active;Q sends idle for all blower fans in wind power plant;BcThe admittance value of capacitor is thrown by original state in wind power plant;Nothing Poor big voltage E=1.
In one embodiment, the second above-mentioned flow equation is:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0, wherein, Bc is thrown by original state in wind power plant The admittance value of capacitor.
In one embodiment, the first above-mentioned reactive voltage sensitivityAnd the first susceptance voltage sensibilityFor:
In one embodiment, when above-mentioned STATCOM is using permanent idle control, QSTAT=IV is constant, then described The second reactive voltage sensitivityAnd the second susceptance voltage sensibilityFor:
In one embodiment, the first above-mentioned relational expression is:f1(Bc, I, X) and=IX (V+ (I-VBc) X), described second Relational expression is:f2(Bc, BL, X) and=2V2BL(1+((BL-Bc) X) X), wherein, BLPropped up for original state SVC perception Admittance value input by road.
In one embodiment, the first above-mentioned relation is:
In one embodiment, the second above-mentioned relation is:
The embodiment of the present invention also provides the analytical equipment that a kind of wind-powered electricity generation collects regional voltage sensibility, described analytical equipment Including:Flow equation establishes unit, and the reactive power exchange relation for collecting system with wind-powered electricity generation according to STATCOM is built Vertical flow equation;Second flow equation establishes unit, collects for establishing the wind-powered electricity generation according to the flow equation and is All blower fans are run with constant power factor in system, and send it is active constant when the second flow equation;Voltage sensibility Acquiring unit, for obtaining the first reactive voltage sensitivity and the first susceptance pressure sensitive according to second flow equation Degree, and the STATCOM is further obtained using the second reactive voltage sensitivity during permanent idle control and the second electricity Receive voltage sensibility;Relational expression generation unit, for according to the first susceptance voltage sensibility and the second susceptance pressure sensitive Degree generation reactive current I, the capacitance B of inputcAnd the first relation between the equiva lent impedance X between wind power plant and system Formula, and the admittance value B of perceptual branch road inputL, input capacitance BcAnd the equiva lent impedance X between wind power plant and system it Between the second relational expression;Relation acquisition unit, for according to first relational expression respectively to reactive current I, capacitance BcAnd Equiva lent impedance X derivations, obtain the reactive current I, capacitance BcAnd equiva lent impedance X and voltage-idle sensitivity increase degree Between the first relation;And according to second relational expression respectively to admittance value BL, capacitance BcAnd equiva lent impedance X derivations, obtain Take the admittance value BL, capacitance BcAnd the second relation between equiva lent impedance X and voltage-idle sensitivity increase degree.
In one embodiment, above-mentioned flow equation is:
Wherein, X be wind power plant system total impedance, X=Xs+XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTTo rise Pressure transformer impedance;I is the reactive current that STATCOM provides to system;P is that all blower fans are sent in wind power plant It is active;Q sends idle for all blower fans in wind power plant;BcThe admittance value of capacitor is thrown by original state in wind power plant;Nothing Poor big voltage E=1.
In one embodiment, the second above-mentioned flow equation is:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0, wherein, Bc is thrown by original state in wind power plant The admittance value of capacitor.
In one embodiment, the first above-mentioned reactive voltage sensitivityAnd the first susceptance voltage sensibilityFor:
In one embodiment, when above-mentioned STATCOM is using permanent idle control, QSTAT=IV is constant, then described The second reactive voltage sensitivityAnd the second susceptance voltage sensibilityFor:
In one embodiment, the first above-mentioned relational expression is:f1(Bc, I, X) and=IX (V+ (I-VBc) X), described second Relational expression is:f2(Bc, BL, X) and=2V2BL(1+((BL-Bc) X) X), wherein, BLPropped up for original state SVC perception Admittance value input by road.
In one embodiment, the first above-mentioned relation is:
In one embodiment, the second above-mentioned relation is:
The beneficial effect of the embodiment of the present invention is, considers wind-powered electricity generation and collects regional static reacance generator and double-fed type Influence generator influences the internal factor of voltage sensibility, and the voltage sensibility that area is collected to wind-powered electricity generation is analyzed, to prevention Wind-powered electricity generation, which collects the area extensive fault-free off-grid accident of generation, has reference value.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, embodiment will be described below In the required accompanying drawing used be briefly described, it should be apparent that, drawings in the following description be only the present invention some Embodiment, for those of ordinary skill in the art, without having to pay creative labor, can also be according to these Accompanying drawing obtains other accompanying drawings.
Fig. 1 is the flow chart for the analysis method for collecting regional voltage sensibility according to the wind-powered electricity generation of the embodiment of the present invention;
Fig. 2 is according to the STATCOM of the embodiment of the present invention and the reactive power exchange graph of a relation of wind power system;
Fig. 3 is that wind-powered electricity generation collects area in the case of initial capacitive reactive power, and voltage rises situation after being disturbed by electric capacity Schematic diagram;
Fig. 4 is that wind-powered electricity generation collects area in the case of initial inductive reactive power, and voltage rises situation after being disturbed by electric capacity Schematic diagram;
Fig. 5 is that wind-powered electricity generation collects area in the case of system short circuit capacity difference, and voltage rises after being disturbed by electric capacity Situation schematic diagram;
Fig. 6 is the structural representation for the analytical equipment for collecting regional voltage sensibility according to the wind-powered electricity generation of the embodiment of the present invention.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete Site preparation describes, it is clear that described embodiment is only part of the embodiment of the present invention, rather than whole embodiments.It is based on Embodiment in the present invention, those of ordinary skill in the art are obtained every other under the premise of creative work is not made Embodiment, belong to the scope of protection of the invention.
The embodiment of the present invention provides the analysis method and device that a kind of wind-powered electricity generation collects regional voltage sensibility.Below in conjunction with attached The present invention is described in detail for figure.
The embodiment of the present invention provides the analysis method that a kind of wind-powered electricity generation collects regional voltage sensibility, as shown in figure 1, the analysis Method mainly includes following steps:
Step S101:The reactive power exchange relation for collecting system according to STATCOM and wind-powered electricity generation establishes power flow equation Formula.
STATCOM (Static Synchronous Compensator, also known as abbreviation STATCOM, SVG) is The representative of current reactive-load compensation field state-of-the-art technology, belong to flexible flexible AC transmitting system (FACTS) important component. STATCOM is parallel in power network, the reactive current source controllable equivalent to one, its reactive current can rapidly follow load without The change of work(electric current and change, it is automatic compensate network system needed for reactive power, realize that dynamic reactive is mended to power system reactive power Repay.The reactive power exchange relation of STATCOM and wind power system is as shown in Figure 2.In Fig. 2, X be wind power plant system total impedance, X=Xs +XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTFor step-up transformer impedance;I is STATCOM to system The reactive current of offer;P sends active for all blower fans in wind power plant;Q sends idle for all blower fans in wind power plant;Bc The admittance value of capacitor is thrown by original state in wind power plant;Infinitely great voltage E=1, all amounts are represented with perunit value in figure. Therefore, the flow equation that the STATCOM according to Fig. 2 is established with System Reactive Power commutative relation is:
Step S102:Wind-powered electricity generation established according to flow equation collect all blower fans in system and run with constant power factor, And send it is active constant when the second flow equation.
According to the flow equation established in step S101, it is assumed that all blower fans are with constant power factor 1 in wind power plant Operation, and send active constant, by two formula summed squares in flow equation, the second flow equation is obtained after eliminating θ:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0 (2).
Step S103:First reactive voltage sensitivity and the first susceptance pressure sensitive are obtained according to the second flow equation Degree, and STATCOM is further obtained using the second reactive voltage sensitivity during permanent idle control and the second susceptance electricity Press sensitivity.
According to above-mentioned second flow equation, to Q and BcLocal derviation is sought respectively, you can the when obtaining STATCOM without control One reactive voltage sensitivityAnd the first susceptance voltage sensibility
Also, further, when STATCOM is using permanent idle control, QSTAT=IV is constant, and this relational expression is substituted into Formula (3) is stated, the second reactive voltage sensitivity under the conditions of this can be tried to achieve respectivelyAnd the second susceptance voltage sensibility
Step S104:According to the first susceptance voltage sensibility and the second susceptance voltage sensibility generation reactive current I, input Capacitance BcAnd the first relational expression between the equiva lent impedance X between wind power plant and system, and perceptual branch road input Admittance value BL, input capacitance BcAnd the second relational expression between the equiva lent impedance X between wind power plant and system.
Understood according to above-mentioned formula (3), (4), in formula (3), (4)WithExpression formula only in the difference of denominator, Both are subtracted each other, reactive current I, the capacitance B of input can be obtainedcAnd between the equiva lent impedance X between wind power plant and system First relational expression f1(Bc, I, X):
f1(Bc, I, X) and=IX (V+ (I-VBc)X) (5);
Also, it can further obtain the admittance value B of perceptual branch road inputL, input capacitance BcAnd wind power plant and system Between equiva lent impedance X between the second relational expression f2(Bc, BL, X):
f2(Bc, BL, X) and=2V2BL(1+((BL-Bc)X)X) (6)。
It can be seen that according to above-mentioned formula (5), (6), can be attributed to by influenceing the factor of voltage sensibility increase degree by three:Just Inductive reactive power amount (the B during beginningLOr I), input capacitance (Bc) and wind power plant and system between equiva lent impedance (X).
Step S105:According to the first relational expression respectively to reactive current I, capacitance BcAnd equiva lent impedance X derivations, obtain nothing Work(electric current I, capacitance BcAnd the first relation between equiva lent impedance X and voltage-idle sensitivity increase degree;And according to Two relational expressions are respectively to admittance value BL, capacitance BcAnd equiva lent impedance X derivations, obtain admittance value BL, capacitance BcAnd equiva lent impedance The second relation between X and voltage-idle sensitivity increase degree.
For above-mentioned formula (5), (6) respectively about Bc, BLWith X derivations, that is, obtain above three factor and voltage-idle Relation between sensitivity increase degree:
It can be seen that from formula (7)~(9):If I>0, i.e. DFIG and SVG or SVC, which are in, determines inductive reactive power state of a control When, formula (7) is then permanent to be less than 0, and formula (8) is more than 0, and dynamic reactive compensation device is in such a controlling party in this explanation wind power plant Under formula, when being disturbed by electric capacity, its initial inductive reactive power input amount is bigger, the increase of field side bus voltage-idle sensitivity Degree is also bigger;On the contrary, if the condenser capacity initially put into field is bigger, the increasing of field side bus voltage-idle sensitivity Big degree is smaller;In addition, formula (9) shows, wind power plant busbar short-circuit capacity]Less voltage-idle remolding sensitivity short circuit is held Measure the even more serious of bigger voltage-idle sensitivity rising.As shown in Figures 3 to 5, represent that certain wind-powered electricity generation collects area respectively In the case of initial capacitive reactive power, initial inductive reactive power and system short circuit capacity difference, after being disturbed by electric capacity on voltage Rise situation, demonstrate the embodiment of the present invention wind-powered electricity generation collect regional voltage sensibility analysis method correctness.
The embodiment of the present invention provides the analytical equipment that a kind of wind-powered electricity generation collects regional voltage sensibility, as shown in fig. 6, the analysis Device mainly includes:Flow equation establishes unit 1, the second flow equation establishes unit 2, voltage sensibility acquiring unit 3, Relational expression generation unit 4 and Relation acquisition unit 5.
Wherein, above-mentioned flow equation establishes unit 1 and is used to collect system according to STATCOM and wind-powered electricity generation Reactive power exchange relation establishes flow equation.
STATCOM (Static Synchronous Compensator, also known as abbreviation STATCOM, SVG) is The representative of current reactive-load compensation field state-of-the-art technology, belong to flexible flexible AC transmitting system (FACTS) important component. STATCOM is parallel in power network, the reactive current source controllable equivalent to one, its reactive current can rapidly follow load without The change of work(electric current and change, it is automatic compensate network system needed for reactive power, realize that dynamic reactive is mended to power system reactive power Repay.The reactive power exchange relation of STATCOM and wind power system is as shown in Figure 2.In Fig. 2, X be wind power plant system total impedance, X=Xs +XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTFor step-up transformer impedance;I is STATCOM to system The reactive current of offer;P sends active for all blower fans in wind power plant;Q sends idle for all blower fans in wind power plant;Bc The admittance value of capacitor is thrown by original state in wind power plant;Infinitely great voltage E=1, all amounts are represented with perunit value in figure. Therefore, the flow equation that the STATCOM according to Fig. 2 is established with System Reactive Power commutative relation is:
The second above-mentioned flow equation establish unit 2 be used for according to flow equation establish wind-powered electricity generation collect in system own Blower fan is run with constant power factor, and send it is active constant when the second flow equation.
The flow equation established is established in unit 1 according to flow equation, it is assumed that in wind power plant all blower fans with Constant power factor 1 is run, and sends active constant, and by two formula summed squares in flow equation, the second tide is obtained after eliminating θ Flow equation:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0 (2).
Voltage sensibility acquiring unit 3 is used to obtain the first reactive voltage sensitivity and first according to the second flow equation Susceptance voltage sensibility, and STATCOM is further obtained using the second reactive voltage sensitivity during permanent idle control And the second susceptance voltage sensibility.
According to above-mentioned second flow equation, to Q and BcLocal derviation is sought respectively, you can the when obtaining STATCOM without control One reactive voltage sensitivityAnd the first susceptance voltage sensibility
Also, further, when STATCOM is using permanent idle control, QSTAT=IV is constant, and this relational expression is substituted into Formula (3) is stated, the second reactive voltage sensitivity under the conditions of this can be tried to achieve respectivelyAnd the second susceptance voltage sensibility
Relational expression generation unit 4 is used for idle according to the first susceptance voltage sensibility and the generation of the second susceptance voltage sensibility Electric current I, input capacitance BcAnd the first relational expression between the equiva lent impedance X between wind power plant and system, and perception The admittance value B of branch road inputL, input capacitance BcAnd the second relation between the equiva lent impedance X between wind power plant and system Formula.
Understood according to above-mentioned formula (3), (4), in formula (3), (4)WithExpression formula only in the difference of denominator, Both are subtracted each other, reactive current I, the capacitance B of input can be obtainedcAnd between the equiva lent impedance X between wind power plant and system First relational expression f1(Bc, I, X):
f1(Bc, I, X) and=IX (V+ (I-VBc)X) (5);
Also, it also can obtain the admittance value B of perceptual branch road inputL, input capacitance BcAnd between wind power plant and system Equiva lent impedance X between the second relational expression f2(Bc, BL, X):
f2(Bc, BL, X) and=2V2BL(1+((BL-Bc)X)X) (6)。
It can be seen that according to above-mentioned formula (5), (6), can be attributed to by influenceing the factor of voltage sensibility increase degree by three:Just Inductive reactive power amount (the B during beginningLOr I), input capacitance (Bc) and wind power plant and system between equiva lent impedance (X).
Relation acquisition unit 5 is used for according to the first relational expression respectively to reactive current I, capacitance BcAnd equiva lent impedance X is asked Lead, obtain reactive current I, capacitance BcAnd the first relation between equiva lent impedance X and voltage-idle sensitivity increase degree; And according to the second relational expression respectively to admittance value BL, capacitance BcAnd equiva lent impedance X derivations, obtain admittance value BL, capacitance Bc And the second relation between equiva lent impedance X and voltage-idle sensitivity increase degree.
For above-mentioned formula (5), (6) respectively about Bc, BLWith X derivations, that is, obtain above three factor and voltage-idle Relation between sensitivity increase degree:
It can be seen that from formula (7)~(9):If I>0, i.e. DFIG and SVG or SVC, which are in, determines inductive reactive power state of a control When, formula (7) is then permanent to be less than 0, and formula (8) is more than 0, and dynamic reactive compensation device is in such a controlling party in this explanation wind power plant Under formula, when being disturbed by electric capacity, its initial inductive reactive power input amount is bigger, the increase of field side bus voltage-idle sensitivity Degree is also bigger;On the contrary, if the condenser capacity initially put into field is bigger, the increasing of field side bus voltage-idle sensitivity Big degree is smaller;In addition, formula (9) shows, wind power plant busbar short-circuit capacity]Less voltage-idle remolding sensitivity short circuit is held Measure the even more serious of bigger voltage-idle sensitivity rising.As shown in Figures 3 to 5, represent that certain wind-powered electricity generation collects area respectively In the case of initial capacitive reactive power, initial inductive reactive power and system short circuit capacity difference, after being disturbed by electric capacity on voltage Rise situation, demonstrate the embodiment of the present invention wind-powered electricity generation collect regional voltage sensibility analytical equipment accuracy.
One of ordinary skill in the art will appreciate that realize that all or part of step in above-described embodiment method can lead to Program is crossed to instruct the hardware of correlation to complete, the program can be stored in a computer read/write memory medium, such as ROM/RAM, magnetic disc, CD etc..
Particular embodiments described above, the purpose of the present invention, technical scheme and beneficial effect are carried out further in detail Describe in detail it is bright, should be understood that the foregoing is only the present invention specific embodiment, the guarantor being not intended to limit the present invention Scope is protected, within the spirit and principles of the invention, any modification, equivalent substitution and improvements done etc., should be included in this Within the protection domain of invention.

Claims (16)

1. a kind of wind-powered electricity generation collects the analysis method of regional voltage sensibility, it is characterised in that described analysis method includes:
The reactive power exchange relation for collecting system according to STATCOM and wind-powered electricity generation establishes flow equation;
The wind-powered electricity generation is established according to the flow equation collect all blower fans in system and run with constant power factor, and send It is active constant when the second flow equation;
First reactive voltage sensitivity and the first susceptance voltage sensibility are obtained according to second flow equation, and further The STATCOM is obtained using the second reactive voltage sensitivity during permanent idle control and the second susceptance pressure sensitive Degree;
According to initial in the first susceptance voltage sensibility and the second susceptance voltage sensibility generation reactive current I, wind power plant State throws the admittance value B of capacitorcAnd the first relational expression between the equiva lent impedance X between wind power plant and system, and Admittance value B input by original state SVC perception branch roadL, original state throws leading for capacitor in wind power plant Receive value BcAnd the second relational expression between the equiva lent impedance X between wind power plant and system;
The admittance value B of capacitor is thrown original state in reactive current I, wind power plant respectively according to first relational expressioncAnd wait Impedance X derivations are imitated, obtain the reactive current I, original state throws the admittance value B of capacitor in wind power plantcAnd equiva lent impedance X With the first relation between voltage-idle sensitivity increase degree;And
According to second relational expression respectively to the admittance value B input by original state SVC perception branch roadL, wind Original state throws the admittance value B of capacitor in electric fieldcAnd equiva lent impedance X derivations, obtain original state SVC Admittance value B input by perceptual branch roadL, original state throws the admittance value B of capacitor in wind power plantcAnd equiva lent impedance X and electricity The second relation between pressure-idle sensitivity increase degree.
2. wind-powered electricity generation according to claim 1 collects the analysis method of regional voltage sensibility, it is characterised in that described tide Flow equation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>P</mi> <mo>=</mo> <mfrac> <mrow> <mi>E</mi> <mi>V</mi> </mrow> <mi>X</mi> </mfrac> <mi>sin</mi> <mi>&amp;theta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>Q</mi> <mo>=</mo> <mfrac> <mrow> <mo>-</mo> <mi>E</mi> <mi>V</mi> </mrow> <mi>X</mi> </mfrac> <mi>cos</mi> <mi>&amp;theta;</mi> <mo>+</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <mi>X</mi> </mfrac> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>I</mi> <mi>V</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
Wherein, X=Xs+XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTFor step-up transformer impedance;I is static same The reactive current that step compensator provides to system;P sends active for all blower fans in wind power plant;Q is all wind in wind power plant Machine is sent idle;Infinitely great voltage E=1.
3. wind-powered electricity generation according to claim 2 collects the analysis method of regional voltage sensibility, it is characterised in that described Two flow equations are:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0.
4. wind-powered electricity generation according to claim 3 collects the analysis method of regional voltage sensibility, it is characterised in that described One reactive voltage sensitivityAnd the first susceptance voltage sensibilityFor:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>V</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msup> <mi>V</mi> <mn>3</mn> </msup> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>V</mi> <mn>2</mn> </msup> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>3</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>I</mi> <mn>2</mn> </msup> <msup> <mi>X</mi> <mn>2</mn> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>V</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>Q</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>3</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>I</mi> <mn>2</mn> </msup> <msup> <mi>X</mi> <mn>2</mn> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
5. wind-powered electricity generation according to claim 4 collects the analysis method of regional voltage sensibility, it is characterised in that described static When synchronous compensator is using permanent idle control, then the second described reactive voltage sensitivityAnd the second susceptance voltage sensibilityFor:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msup> <mi>V</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msup> <mi>V</mi> <mn>3</mn> </msup> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>V</mi> <mn>2</mn> </msup> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msup> <mi>V</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mrow> <mo>&amp;part;</mo> <mi>Q</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
6. wind-powered electricity generation according to claim 5 collects the analysis method of regional voltage sensibility, it is characterised in that described One relational expression is:f1(Bc, I, X) and=IX (V+ (I-VBc) X), the second described relational expression is:f2(Bc, BL, X) and=2V2BL(1+ ((BL-Bc)X)X)。
7. wind-powered electricity generation according to claim 6 collects the analysis method of regional voltage sensibility, it is characterised in that described One relation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mo>-</mo> <msup> <mi>IVX</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>I</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>I</mi> </mrow> </mfrac> <mo>=</mo> <mi>X</mi> <mrow> <mo>(</mo> <mi>V</mi> <mo>+</mo> <mo>(</mo> <mrow> <mn>2</mn> <mi>I</mi> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>X</mi> </mrow> </mfrac> <mo>=</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>V</mi> <mo>+</mo> <mn>2</mn> <mi>X</mi> <mo>(</mo> <mrow> <mi>I</mi> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
8. wind-powered electricity generation according to claim 7 collects the analysis method of regional voltage sensibility, it is characterised in that described Two relations are:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mo>-</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <msub> <mi>B</mi> <mi>L</mi> </msub> <msup> <mi>X</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>L</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>L</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <mi>X</mi> <mo>+</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <msub> <mi>B</mi> <mi>L</mi> </msub> <msup> <mi>X</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>X</mi> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mo>(</mo> <mrow> <msub> <mi>B</mi> <mi>L</mi> </msub> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
9. a kind of wind-powered electricity generation collects the analytical equipment of regional voltage sensibility, it is characterised in that described analytical equipment includes:
Flow equation establishes unit, and the reactive power exchange relation for collecting system according to STATCOM and wind-powered electricity generation is established Flow equation;
Second flow equation establishes unit, collects all wind in system for establishing the wind-powered electricity generation according to the flow equation Machine is run with constant power factor, and send it is active constant when the second flow equation;
Voltage sensibility acquiring unit, for obtaining the first reactive voltage sensitivity and first according to second flow equation Susceptance voltage sensibility, and the STATCOM is further obtained using the second reactive voltage spirit during permanent idle control Sensitivity and the second susceptance voltage sensibility;
Relational expression generation unit, for idle according to the first susceptance voltage sensibility and the generation of the second susceptance voltage sensibility Original state throws the admittance value B of capacitor in electric current I, wind power plantcAnd between the equiva lent impedance X between wind power plant and system The first relational expression, and the admittance value B input by original state SVC perception branch roadL, it is initial in wind power plant State throws the admittance value B of capacitorcAnd the second relational expression between the equiva lent impedance X between wind power plant and system;
Relation acquisition unit, for throwing electricity to original state in reactive current I, wind power plant respectively according to first relational expression The admittance value B of containercAnd equiva lent impedance X derivations, obtain the reactive current I, original state throws capacitor in wind power plant Admittance value BcAnd the first relation between equiva lent impedance X and voltage-idle sensitivity increase degree;And
According to second relational expression respectively to the admittance value B input by original state SVC perception branch roadL, wind Original state throws the admittance value B of capacitor in electric fieldcAnd equiva lent impedance X derivations, obtain original state SVC Admittance value B input by perceptual branch roadL, original state throws the admittance value B of capacitor in wind power plantcAnd equiva lent impedance X and electricity The second relation between pressure-idle sensitivity increase degree.
10. wind-powered electricity generation according to claim 9 collects the analytical equipment of regional voltage sensibility, it is characterised in that described Flow equation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>P</mi> <mo>=</mo> <mfrac> <mrow> <mi>E</mi> <mi>V</mi> </mrow> <mi>X</mi> </mfrac> <mi>sin</mi> <mi>&amp;theta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>Q</mi> <mo>=</mo> <mfrac> <mrow> <mo>-</mo> <mi>E</mi> <mi>V</mi> </mrow> <mi>X</mi> </mfrac> <mi>cos</mi> <mi>&amp;theta;</mi> <mo>+</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <mi>X</mi> </mfrac> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>I</mi> <mi>V</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
Wherein, X=Xs+XL+XT, XsFor system impedance, XLFor transmission line of electricity impedance, XTFor step-up transformer impedance;I is static same The reactive current that step compensator provides to system;P sends active for all blower fans in wind power plant;Q is all wind in wind power plant Machine is sent idle;Infinitely great voltage E=1.
11. wind-powered electricity generation according to claim 10 collects the analytical equipment of regional voltage sensibility, it is characterised in that described Second flow equation is:
(1-BcX)2V4+2IX(1-BcX)V3+(I2X2-1)V2+P2X2=0.
12. wind-powered electricity generation according to claim 11 collects the analytical equipment of regional voltage sensibility, it is characterised in that described One reactive voltage sensitivityAnd the first susceptance voltage sensibilityFor:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>V</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msup> <mi>V</mi> <mn>3</mn> </msup> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>V</mi> <mn>2</mn> </msup> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>3</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>I</mi> <mn>2</mn> </msup> <msup> <mi>X</mi> <mn>2</mn> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>V</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>Q</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>3</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>I</mi> <mn>2</mn> </msup> <msup> <mi>X</mi> <mn>2</mn> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
13. wind-powered electricity generation according to claim 12 collects the analytical equipment of regional voltage sensibility, it is characterised in that described quiet When only synchronous compensator is using permanent idle control, then the second reactive voltage sensitivityAnd the second susceptance voltage sensibilityFor:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msup> <mi>V</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msup> <mi>V</mi> <mn>3</mn> </msup> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>V</mi> <mn>2</mn> </msup> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msup> <mi>V</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mrow> <mo>&amp;part;</mo> <mi>Q</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>IX</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msup> <mi>V</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <mi>I</mi> <mi>V</mi> <mi>X</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mi>X</mi> <mo>)</mo> </mrow> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
14. wind-powered electricity generation according to claim 13 collects the analytical equipment of regional voltage sensibility, it is characterised in that described First relational expression is:f1(Bc, I, X) and=IX (V+ (I-VBc) X), the second described relational expression is:f2(Bc, BL, X) and=2V2BL(1+ ((BL-Bc)X)X)。
15. wind-powered electricity generation according to claim 14 collects the analytical equipment of regional voltage sensibility, it is characterised in that described First relation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mo>-</mo> <msup> <mi>IVX</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>I</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>I</mi> </mrow> </mfrac> <mo>=</mo> <mi>X</mi> <mrow> <mo>(</mo> <mi>V</mi> <mo>+</mo> <mo>(</mo> <mrow> <mn>2</mn> <mi>I</mi> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>X</mi> </mrow> </mfrac> <mo>=</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>V</mi> <mo>+</mo> <mn>2</mn> <mi>X</mi> <mo>(</mo> <mrow> <mi>I</mi> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow> 3
16. wind-powered electricity generation according to claim 15 collects the analytical equipment of regional voltage sensibility, it is characterised in that described Second relation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>c</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mo>-</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <msub> <mi>B</mi> <mi>L</mi> </msub> <msup> <mi>X</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>B</mi> <mi>L</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>dB</mi> <mi>L</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <mi>X</mi> <mo>+</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <msub> <mi>B</mi> <mi>L</mi> </msub> <msup> <mi>X</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>df</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>X</mi> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <msup> <mi>V</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mo>(</mo> <mrow> <msub> <mi>B</mi> <mi>L</mi> </msub> <mo>-</mo> <msub> <mi>B</mi> <mi>c</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow> 4
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